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Finding the Fourth Proportional to 273.81, 411 and 129.63

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Solution

The fourth proportional to 273.81, 411 and 129.63 is: 194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.81 : 411 = 129.63 : x
  2. Step 2: Convert to fraction form
    273.81/411 = 129.63/x
  3. Step 3: Cross multiply
    273.81x = 411 × 129.63
  4. Step 4: Simplify right side
    273.81x = 53,277.93
  5. Step 5: Solve for x
    x = 53,277.93/273.81
  6. Step 6: Final answer
    x = 194.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.